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Finding the Fourth Proportional to 3,547.24, 4,894.99 and 1,975.23

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Solution

The fourth proportional to 3,547.24, 4,894.99 and 1,975.23 is: 2,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.24 : 4,894.99 = 1,975.23 : x
  2. Step 2: Convert to fraction form
    3,547.24/4,894.99 = 1,975.23/x
  3. Step 3: Cross multiply
    3,547.24x = 4,894.99 × 1,975.23
  4. Step 4: Simplify right side
    3,547.24x = 9,668,726.16
  5. Step 5: Solve for x
    x = 9,668,726.16/3,547.24
  6. Step 6: Final answer
    x = 2,725.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.